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Apr 17th, 2024
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  1. Tue Apr 16 23:55:30 2024
  2. Tue Apr 16 23:55:30 2024
  3. Tue Apr 16 23:55:30 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 16 23:55:30 2024 random seeds: 34fa0b63 cfef7a5d
  5. Tue Apr 16 23:55:30 2024 Using 32 OpenMP threads
  6. Tue Apr 16 23:55:30 2024 factoring 58183295402327348030888378089635522628722363420525503402721995177934655997451955865877376007138594242810950750612999302329008979487648063598771749582940762206532392114461913189 (176 digits)
  7. Tue Apr 16 23:55:30 2024 searching for 15-digit factors
  8. Tue Apr 16 23:55:30 2024 commencing number field sieve (176-digit input)
  9. Tue Apr 16 23:55:30 2024 R0: -15861125004882880889492686139759283
  10. Tue Apr 16 23:55:30 2024 R1: 549193750890783827
  11. Tue Apr 16 23:55:30 2024 A0: -22242464701544610923150838373292196805214600
  12. Tue Apr 16 23:55:30 2024 A1: -3145258846791019356564895632459655640
  13. Tue Apr 16 23:55:30 2024 A2: -11673216924039671335237849074
  14. Tue Apr 16 23:55:30 2024 A3: 2212651393098608414450
  15. Tue Apr 16 23:55:30 2024 A4: -3930768746449
  16. Tue Apr 16 23:55:30 2024 A5: 57960
  17. Tue Apr 16 23:55:30 2024 skew 61575173.20, size 3.086e-17, alpha -7.434, combined = 1.408e-13 rroots = 3
  18. Tue Apr 16 23:55:30 2024
  19. Tue Apr 16 23:55:30 2024 commencing relation filtering
  20. Tue Apr 16 23:55:30 2024 setting target matrix density to 120.0
  21. Tue Apr 16 23:55:30 2024 estimated available RAM is 515996.3 MB
  22. Tue Apr 16 23:55:30 2024 commencing duplicate removal, pass 1
  23. Tue Apr 16 23:55:42 2024 error -1 reading relation 7144518
  24. Tue Apr 16 23:56:32 2024 error -1 reading relation 42479945
  25. Tue Apr 16 23:56:37 2024 error -1 reading relation 46369264
  26. Tue Apr 16 23:56:38 2024 error -1 reading relation 46875704
  27. Tue Apr 16 23:57:00 2024 error -1 reading relation 62608848
  28. Tue Apr 16 23:57:02 2024 error -1 reading relation 63638499
  29. Tue Apr 16 23:57:06 2024 error -1 reading relation 66939288
  30. Tue Apr 16 23:57:10 2024 error -1 reading relation 69711254
  31. Tue Apr 16 23:57:27 2024 error -1 reading relation 81355220
  32. Tue Apr 16 23:57:27 2024 error -1 reading relation 81399321
  33. Tue Apr 16 23:57:27 2024 error -1 reading relation 81403914
  34. Tue Apr 16 23:57:27 2024 error -1 reading relation 81403988
  35. Tue Apr 16 23:57:27 2024 error -1 reading relation 81406239
  36. Tue Apr 16 23:57:48 2024 error -1 reading relation 92455687
  37. Tue Apr 16 23:57:54 2024 error -1 reading relation 95770016
  38. Tue Apr 16 23:58:15 2024 error -1 reading relation 108827793
  39. Tue Apr 16 23:58:18 2024 error -1 reading relation 111278583
  40. Tue Apr 16 23:58:30 2024 error -6 reading relation 119141810
  41. Tue Apr 16 23:58:30 2024 error -1 reading relation 119324799
  42. Tue Apr 16 23:58:47 2024 error -1 reading relation 131079021
  43. Tue Apr 16 23:59:08 2024 error -11 reading relation 145435478
  44. Tue Apr 16 23:59:08 2024 error -11 reading relation 145439580
  45. Tue Apr 16 23:59:26 2024 error -1 reading relation 158219563
  46. Tue Apr 16 23:59:28 2024 error -1 reading relation 159333291
  47. Tue Apr 16 23:59:31 2024 error -1 reading relation 161438586
  48. Tue Apr 16 23:59:35 2024 error -1 reading relation 164773512
  49. Tue Apr 16 23:59:41 2024 error -1 reading relation 169000809
  50. Wed Apr 17 00:00:12 2024 error -1 reading relation 190045397
  51. Wed Apr 17 00:00:14 2024 error -1 reading relation 191110691
  52. Wed Apr 17 00:00:23 2024 error -1 reading relation 197660721
  53. Wed Apr 17 00:00:50 2024 error -1 reading relation 216119943
  54. Wed Apr 17 00:01:01 2024 error -6 reading relation 223578208
  55. Wed Apr 17 00:01:01 2024 error -11 reading relation 223651211
  56. Wed Apr 17 00:01:01 2024 error -11 reading relation 223665483
  57. Wed Apr 17 00:01:01 2024 error -11 reading relation 223667715
  58. Wed Apr 17 00:01:01 2024 error -11 reading relation 223671816
  59. Wed Apr 17 00:01:01 2024 error -15 reading relation 223706867
  60. Wed Apr 17 00:01:01 2024 error -15 reading relation 223719970
  61. Wed Apr 17 00:01:01 2024 error -1 reading relation 223842463
  62. Wed Apr 17 00:01:01 2024 error -5 reading relation 223871136
  63. Wed Apr 17 00:01:03 2024 error -1 reading relation 224959868
  64. Wed Apr 17 00:01:06 2024 error -1 reading relation 227386674
  65. Wed Apr 17 00:01:10 2024 error -1 reading relation 229873406
  66. Wed Apr 17 00:01:10 2024 skipped 252 malformed relations
  67. Wed Apr 17 00:01:10 2024 found 39072728 hash collisions in 230093333 relations
  68. Wed Apr 17 00:01:32 2024 added 122046 free relations
  69. Wed Apr 17 00:01:32 2024 commencing duplicate removal, pass 2
  70. Wed Apr 17 00:05:40 2024 found 35599153 duplicates and 194616226 unique relations
  71. Wed Apr 17 00:05:40 2024 memory use: 1321.5 MB
  72. Wed Apr 17 00:05:40 2024 reading ideals above 720000
  73. Wed Apr 17 00:05:40 2024 commencing singleton removal, initial pass
  74. Wed Apr 17 00:15:31 2024 memory use: 5512.0 MB
  75. Wed Apr 17 00:15:31 2024 reading all ideals from disk
  76. Wed Apr 17 00:15:34 2024 memory use: 9404.5 MB
  77. Wed Apr 17 00:15:55 2024 keeping 175392305 ideals with weight <= 200, target excess is 1042886
  78. Wed Apr 17 00:16:19 2024 commencing in-memory singleton removal
  79. Wed Apr 17 00:16:22 2024 begin with 194616226 relations and 175392305 unique ideals
  80. Wed Apr 17 00:16:32 2024 reduce to 128628128 relations and 102920700 ideals in 13 passes
  81. Wed Apr 17 00:16:32 2024 max relations containing the same ideal: 162
  82. Wed Apr 17 00:17:12 2024 removing 10643876 relations and 8643876 ideals in 2000000 cliques
  83. Wed Apr 17 00:17:17 2024 commencing in-memory singleton removal
  84. Wed Apr 17 00:17:19 2024 begin with 117984252 relations and 102920700 unique ideals
  85. Wed Apr 17 00:17:24 2024 reduce to 117349302 relations and 93629702 ideals in 8 passes
  86. Wed Apr 17 00:17:24 2024 max relations containing the same ideal: 153
  87. Wed Apr 17 00:18:01 2024 removing 8118932 relations and 6118932 ideals in 2000000 cliques
  88. Wed Apr 17 00:18:06 2024 commencing in-memory singleton removal
  89. Wed Apr 17 00:18:07 2024 begin with 109230370 relations and 93629702 unique ideals
  90. Wed Apr 17 00:18:12 2024 reduce to 108800932 relations and 87074057 ideals in 8 passes
  91. Wed Apr 17 00:18:12 2024 max relations containing the same ideal: 144
  92. Wed Apr 17 00:18:46 2024 removing 7374690 relations and 5374690 ideals in 2000000 cliques
  93. Wed Apr 17 00:18:50 2024 commencing in-memory singleton removal
  94. Wed Apr 17 00:18:52 2024 begin with 101426242 relations and 87074057 unique ideals
  95. Wed Apr 17 00:18:56 2024 reduce to 101045675 relations and 81312271 ideals in 7 passes
  96. Wed Apr 17 00:18:56 2024 max relations containing the same ideal: 140
  97. Wed Apr 17 00:19:29 2024 removing 6993080 relations and 4993080 ideals in 2000000 cliques
  98. Wed Apr 17 00:19:33 2024 commencing in-memory singleton removal
  99. Wed Apr 17 00:19:34 2024 begin with 94052595 relations and 81312271 unique ideals
  100. Wed Apr 17 00:19:38 2024 reduce to 93690559 relations and 75950635 ideals in 8 passes
  101. Wed Apr 17 00:19:38 2024 max relations containing the same ideal: 131
  102. Wed Apr 17 00:20:08 2024 removing 6762280 relations and 4762280 ideals in 2000000 cliques
  103. Wed Apr 17 00:20:12 2024 commencing in-memory singleton removal
  104. Wed Apr 17 00:20:13 2024 begin with 86928279 relations and 75950635 unique ideals
  105. Wed Apr 17 00:20:16 2024 reduce to 86573979 relations and 70827386 ideals in 7 passes
  106. Wed Apr 17 00:20:16 2024 max relations containing the same ideal: 127
  107. Wed Apr 17 00:20:45 2024 removing 6607823 relations and 4607823 ideals in 2000000 cliques
  108. Wed Apr 17 00:20:49 2024 commencing in-memory singleton removal
  109. Wed Apr 17 00:20:50 2024 begin with 79966156 relations and 70827386 unique ideals
  110. Wed Apr 17 00:20:53 2024 reduce to 79611269 relations and 65857405 ideals in 7 passes
  111. Wed Apr 17 00:20:53 2024 max relations containing the same ideal: 119
  112. Wed Apr 17 00:21:19 2024 removing 6499324 relations and 4499324 ideals in 2000000 cliques
  113. Wed Apr 17 00:21:22 2024 commencing in-memory singleton removal
  114. Wed Apr 17 00:21:23 2024 begin with 73111945 relations and 65857405 unique ideals
  115. Wed Apr 17 00:21:26 2024 reduce to 72747193 relations and 60985579 ideals in 8 passes
  116. Wed Apr 17 00:21:26 2024 max relations containing the same ideal: 110
  117. Wed Apr 17 00:21:50 2024 removing 6430019 relations and 4430019 ideals in 2000000 cliques
  118. Wed Apr 17 00:21:53 2024 commencing in-memory singleton removal
  119. Wed Apr 17 00:21:53 2024 begin with 66317174 relations and 60985579 unique ideals
  120. Wed Apr 17 00:21:55 2024 reduce to 65935164 relations and 56164744 ideals in 7 passes
  121. Wed Apr 17 00:21:55 2024 max relations containing the same ideal: 102
  122. Wed Apr 17 00:22:17 2024 removing 6379997 relations and 4379997 ideals in 2000000 cliques
  123. Wed Apr 17 00:22:20 2024 commencing in-memory singleton removal
  124. Wed Apr 17 00:22:21 2024 begin with 59555167 relations and 56164744 unique ideals
  125. Wed Apr 17 00:22:24 2024 reduce to 59151583 relations and 51370847 ideals in 6 passes
  126. Wed Apr 17 00:22:24 2024 max relations containing the same ideal: 97
  127. Wed Apr 17 00:22:44 2024 removing 6351283 relations and 4351283 ideals in 2000000 cliques
  128. Wed Apr 17 00:22:47 2024 commencing in-memory singleton removal
  129. Wed Apr 17 00:22:48 2024 begin with 52800300 relations and 51370847 unique ideals
  130. Wed Apr 17 00:22:50 2024 reduce to 52361478 relations and 46568420 ideals in 7 passes
  131. Wed Apr 17 00:22:50 2024 max relations containing the same ideal: 90
  132. Wed Apr 17 00:23:08 2024 removing 6336383 relations and 4336383 ideals in 2000000 cliques
  133. Wed Apr 17 00:23:11 2024 commencing in-memory singleton removal
  134. Wed Apr 17 00:23:11 2024 begin with 46025095 relations and 46568420 unique ideals
  135. Wed Apr 17 00:23:13 2024 reduce to 45539796 relations and 41731317 ideals in 8 passes
  136. Wed Apr 17 00:23:13 2024 max relations containing the same ideal: 81
  137. Wed Apr 17 00:23:29 2024 removing 6336259 relations and 4336259 ideals in 2000000 cliques
  138. Wed Apr 17 00:23:32 2024 commencing in-memory singleton removal
  139. Wed Apr 17 00:23:32 2024 begin with 39203537 relations and 41731317 unique ideals
  140. Wed Apr 17 00:23:34 2024 reduce to 38648563 relations and 36819766 ideals in 8 passes
  141. Wed Apr 17 00:23:34 2024 max relations containing the same ideal: 74
  142. Wed Apr 17 00:23:48 2024 removing 2454221 relations and 1835172 ideals in 619049 cliques
  143. Wed Apr 17 00:23:50 2024 commencing in-memory singleton removal
  144. Wed Apr 17 00:23:50 2024 begin with 36194342 relations and 36819766 unique ideals
  145. Wed Apr 17 00:23:51 2024 reduce to 36097248 relations and 34886216 ideals in 7 passes
  146. Wed Apr 17 00:23:51 2024 max relations containing the same ideal: 71
  147. Wed Apr 17 00:24:09 2024 relations with 0 large ideals: 3447
  148. Wed Apr 17 00:24:09 2024 relations with 1 large ideals: 17053
  149. Wed Apr 17 00:24:09 2024 relations with 2 large ideals: 231252
  150. Wed Apr 17 00:24:09 2024 relations with 3 large ideals: 1387126
  151. Wed Apr 17 00:24:09 2024 relations with 4 large ideals: 4437653
  152. Wed Apr 17 00:24:09 2024 relations with 5 large ideals: 8357560
  153. Wed Apr 17 00:24:09 2024 relations with 6 large ideals: 9860858
  154. Wed Apr 17 00:24:09 2024 relations with 7+ large ideals: 11802299
  155. Wed Apr 17 00:24:09 2024 commencing 2-way merge
  156. Wed Apr 17 00:24:40 2024 reduce to 24136282 relation sets and 22925250 unique ideals
  157. Wed Apr 17 00:24:40 2024 commencing full merge
  158. Wed Apr 17 00:41:11 2024 memory use: 3001.1 MB
  159. Wed Apr 17 00:41:13 2024 found 11275016 cycles, need 11135450
  160. Wed Apr 17 00:41:18 2024 weight of 11135450 cycles is about 1336976933 (120.06/cycle)
  161. Wed Apr 17 00:41:18 2024 distribution of cycle lengths:
  162. Wed Apr 17 00:41:18 2024 1 relations: 321687
  163. Wed Apr 17 00:41:18 2024 2 relations: 671878
  164. Wed Apr 17 00:41:18 2024 3 relations: 842855
  165. Wed Apr 17 00:41:18 2024 4 relations: 889492
  166. Wed Apr 17 00:41:18 2024 5 relations: 923550
  167. Wed Apr 17 00:41:18 2024 6 relations: 918038
  168. Wed Apr 17 00:41:18 2024 7 relations: 903428
  169. Wed Apr 17 00:41:18 2024 8 relations: 855128
  170. Wed Apr 17 00:41:18 2024 9 relations: 795090
  171. Wed Apr 17 00:41:18 2024 10+ relations: 4014304
  172. Wed Apr 17 00:41:18 2024 heaviest cycle: 25 relations
  173. Wed Apr 17 00:41:21 2024 commencing cycle optimization
  174. Wed Apr 17 00:41:39 2024 start with 92303259 relations
  175. Wed Apr 17 00:47:55 2024 pruned 4449817 relations
  176. Wed Apr 17 00:47:55 2024 memory use: 2456.8 MB
  177. Wed Apr 17 00:47:55 2024 distribution of cycle lengths:
  178. Wed Apr 17 00:47:55 2024 1 relations: 321687
  179. Wed Apr 17 00:47:56 2024 2 relations: 692566
  180. Wed Apr 17 00:47:56 2024 3 relations: 885329
  181. Wed Apr 17 00:47:56 2024 4 relations: 933826
  182. Wed Apr 17 00:47:56 2024 5 relations: 976454
  183. Wed Apr 17 00:47:56 2024 6 relations: 970258
  184. Wed Apr 17 00:47:56 2024 7 relations: 956538
  185. Wed Apr 17 00:47:56 2024 8 relations: 900170
  186. Wed Apr 17 00:47:56 2024 9 relations: 830797
  187. Wed Apr 17 00:47:56 2024 10+ relations: 3667825
  188. Wed Apr 17 00:47:56 2024 heaviest cycle: 25 relations
  189. Wed Apr 17 00:48:30 2024 RelProcTime: 3180
  190. Wed Apr 17 00:48:30 2024 elapsed time 00:53:00
  191. Wed Apr 17 03:16:36 2024
  192. Wed Apr 17 03:16:36 2024
  193. Wed Apr 17 03:16:36 2024 Msieve v. 1.54 (SVN Unversioned directory)
  194. Wed Apr 17 03:16:36 2024 random seeds: f4b300f8 b03c76e3
  195. Wed Apr 17 03:16:36 2024 Using 64 OpenMP threads
  196. Wed Apr 17 03:16:36 2024 factoring 58183295402327348030888378089635522628722363420525503402721995177934655997451955865877376007138594242810950750612999302329008979487648063598771749582940762206532392114461913189 (176 digits)
  197. Wed Apr 17 03:16:37 2024 searching for 15-digit factors
  198. Wed Apr 17 03:16:37 2024 commencing number field sieve (176-digit input)
  199. Wed Apr 17 03:16:37 2024 R0: -15861125004882880889492686139759283
  200. Wed Apr 17 03:16:37 2024 R1: 549193750890783827
  201. Wed Apr 17 03:16:37 2024 A0: -22242464701544610923150838373292196805214600
  202. Wed Apr 17 03:16:37 2024 A1: -3145258846791019356564895632459655640
  203. Wed Apr 17 03:16:37 2024 A2: -11673216924039671335237849074
  204. Wed Apr 17 03:16:37 2024 A3: 2212651393098608414450
  205. Wed Apr 17 03:16:37 2024 A4: -3930768746449
  206. Wed Apr 17 03:16:37 2024 A5: 57960
  207. Wed Apr 17 03:16:37 2024 skew 61575173.20, size 3.086e-17, alpha -7.434, combined = 1.408e-13 rroots = 3
  208. Wed Apr 17 03:16:37 2024
  209. Wed Apr 17 03:16:37 2024 commencing linear algebra
  210. Wed Apr 17 03:16:37 2024 using VBITS=256
  211. Wed Apr 17 03:16:38 2024 read 11135450 cycles
  212. Wed Apr 17 03:16:54 2024 cycles contain 35542633 unique relations
  213. Wed Apr 17 03:20:15 2024 read 35542633 relations
  214. Wed Apr 17 03:20:18 2024 using 20 quadratic characters above 4294917295
  215. Wed Apr 17 03:20:23 2024 building initial matrix
  216. Wed Apr 17 03:27:13 2024 memory use: 5145.8 MB
  217. Wed Apr 17 03:27:18 2024 read 11135450 cycles
  218. Wed Apr 17 03:27:19 2024 matrix is 11135272 x 11135450 (5253.0 MB) with weight 1611944417 (144.76/col)
  219. Wed Apr 17 03:27:19 2024 sparse part has weight 1243424173 (111.66/col)
  220. Wed Apr 17 03:29:17 2024 filtering completed in 2 passes
  221. Wed Apr 17 03:29:19 2024 matrix is 11134967 x 11135143 (5253.0 MB) with weight 1611929788 (144.76/col)
  222. Wed Apr 17 03:29:19 2024 sparse part has weight 1243419817 (111.67/col)
  223. Wed Apr 17 03:29:53 2024 matrix starts at (0, 0)
  224. Wed Apr 17 03:29:54 2024 matrix is 11134967 x 11135143 (5253.0 MB) with weight 1611929788 (144.76/col)
  225. Wed Apr 17 03:29:54 2024 sparse part has weight 1243419817 (111.67/col)
  226. Wed Apr 17 03:29:54 2024 saving the first 240 matrix rows for later
  227. Wed Apr 17 03:29:56 2024 matrix includes 256 packed rows
  228. Wed Apr 17 03:30:00 2024 matrix is 11134727 x 11135143 (4759.7 MB) with weight 1141574369 (102.52/col)
  229. Wed Apr 17 03:30:00 2024 sparse part has weight 1069564509 (96.05/col)
  230. Wed Apr 17 03:30:00 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  231. Wed Apr 17 03:30:20 2024 commencing Lanczos iteration (64 threads)
  232. Wed Apr 17 03:30:20 2024 memory use: 6545.0 MB
  233. Wed Apr 17 03:32:10 2024 linear algebra at 0.3%, ETA 10h52m
  234. Wed Apr 17 03:34:45 2024 checking every 10000 dimensions, checkpointing every 1060000 dimensions
  235. Wed Apr 17 13:50:12 2024 lanczos halted after 43627 iterations (dim = 11134727)
  236. Wed Apr 17 13:50:48 2024 recovered 32 nontrivial dependencies
  237. Wed Apr 17 13:50:49 2024 BLanczosTime: 38052
  238. Wed Apr 17 13:50:49 2024
  239. Wed Apr 17 13:50:49 2024 commencing square root phase
  240. Wed Apr 17 13:50:49 2024 reading relations for dependency 1
  241. Wed Apr 17 13:50:50 2024 read 5567500 cycles
  242. Wed Apr 17 13:50:58 2024 cycles contain 17773228 unique relations
  243. Wed Apr 17 13:54:04 2024 read 17773228 relations
  244. Wed Apr 17 13:55:08 2024 multiplying 17773228 relations
  245. Wed Apr 17 14:03:06 2024 multiply complete, coefficients have about 996.48 million bits
  246. Wed Apr 17 14:03:08 2024 initial square root is modulo 870850699
  247. Wed Apr 17 14:08:39 2024 GCD is 1, no factor found
  248. Wed Apr 17 14:08:39 2024 reading relations for dependency 2
  249. Wed Apr 17 14:08:40 2024 read 5570874 cycles
  250. Wed Apr 17 14:08:48 2024 cycles contain 17775608 unique relations
  251. Wed Apr 17 14:11:53 2024 read 17775608 relations
  252. Wed Apr 17 14:12:55 2024 multiplying 17775608 relations
  253. Wed Apr 17 14:20:53 2024 multiply complete, coefficients have about 996.61 million bits
  254. Wed Apr 17 14:20:55 2024 initial square root is modulo 873204743
  255. Wed Apr 17 14:26:21 2024 GCD is N, no factor found
  256. Wed Apr 17 14:26:21 2024 reading relations for dependency 3
  257. Wed Apr 17 14:26:22 2024 read 5564485 cycles
  258. Wed Apr 17 14:26:30 2024 cycles contain 17760886 unique relations
  259. Wed Apr 17 14:29:36 2024 read 17760886 relations
  260. Wed Apr 17 14:30:37 2024 multiplying 17760886 relations
  261. Wed Apr 17 14:38:41 2024 multiply complete, coefficients have about 995.77 million bits
  262. Wed Apr 17 14:38:44 2024 initial square root is modulo 858169463
  263. Wed Apr 17 14:44:05 2024 sqrtTime: 3196
  264. Wed Apr 17 14:44:05 2024 p73 factor: 1997396242550026467901716730601561958087767227008289546702508800404178321
  265. Wed Apr 17 14:44:05 2024 p104 factor: 29129570869746991870984356021665891542191715605749928388742685909116302675521908717725752836528467772309
  266. Wed Apr 17 14:44:05 2024 elapsed time 11:27:29
  267.  
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